What is the Greatest Common Factor of 20257 and 20274?

Greatest common factor (GCF) of 20257 and 20274 is 1.

GCF(20257,20274) = 1

We will now calculate the prime factors of 20257 and 20274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20257 and 20274.

How to find the GCF of 20257 and 20274?

We will first find the prime factorization of 20257 and 20274. After we will calculate the factors of 20257 and 20274 and find the biggest common factor number .

Step-1: Prime Factorization of 20257

Prime factors of 20257 are 47, 431. Prime factorization of 20257 in exponential form is:

20257 = 47¹ × 431¹

Step-2: Prime Factorization of 20274

Prime factors of 20274 are 2, 3, 31, 109. Prime factorization of 20274 in exponential form is:

20274 = 2¹ × 3¹ × 31¹ × 109¹

Step-3: Factors of 20257

List of positive integer factors of 20257 that divides 20257 without a remainder.

1, 47, 431

Step-4: Factors of 20274

List of positive integer factors of 20274 that divides 20257 without a remainder.

1, 2, 3, 6, 31, 62, 93, 109, 186, 218, 327, 654, 3379, 6758, 10137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20257 and 20274. The biggest common factor number is the GCF number.
So the greatest common factor 20257 and 20274 is 1.

Also check out the Least Common Multiple of 20257 and 20274